Question

5x-3y=12

Slope=
x-intercept-
y-intercept

Answer 1

I think the slope is 5/3, the x intercept is 12/5 ( i am not sure about this one), and the y intercept is -4. Hope this helps, have a good day. c;

Answer 2

Answer

Slope = $\frac{5}{3}$

x-intercept = $\frac{12}{5} =2.4$

y-intercept = -4

Explanation

Remember that the equation of a line in general form is: $Ax+By+C=0$

where

$slope=\frac{-A}{B}$

$y-intercept=\frac{-C}{B}$

Notice that to express our equation, $5x-3y=12$, in general form, we just need to subtract 12 from both sides of the equation:

$5x-3y=12$

$5x-3y-12=12-12$

$5x-3y-12=0$

Now can infer that $A=5$, $B=-3$, and $C=-12$. So let's replace the values in our formulas:

$slope=\frac{-A}{B}$

$slope=\frac{-5}{-3}$

$slope=\frac{5}{3}$

$y-intercept=\frac{-C}{B}$

$y-intercept=\frac{-(-12)}{-3}$

$y-intercept=\frac{12}{-3}$

$y-intercept=-4$

To find the x-intercept, we just need to replace $y$ with zero in our general or original equation and solve for $x$:

$5x-3y-12=0$

$5x-3(0)-12=0$

$5x-12=0$

$5x=12$

$x=\frac{12}{5}=2.4$